It is widely agreed that knowing how prospective teachers develop analogical reasoning in solving problems is essential. Problem solving is specific domain that requires particular ways of analogical reasoning skill. The purposes of this study was to reveal the development of analogical reasoning and strategies used by a prospective teacher. The…

Computational Thinking (CT) is a vital skill for digital citizens in the twenty-first Century. Investigating CT skills and their relationships with demographic and educational factors serve as the basis of CT skills cultivation. However, there is limited research focusing on high school students and inconsistent results regarding the relationship…

The research on mathematical argumentation has mainly adopted a dialectic lens which focuses on understanding the abstract and logical development of reasoning in argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation, including the unfolding of the meaning-making experience and process during…

Constructing multiplicative reasoning is critical for students' learning of mathematics, particularly throughout the middle grades and beyond. Tzur, Xin, Si, Kenney, and Guebert [American Educational Research Association, ERIC No. ED510991, (2010)] conclude that an assimilatory composite unit is a conceptual spring to multiplicative reasoning.…

In order to investigate the nature of complex problem solving (CPS) within the nomological network of cognitive abilities, few studies have simultantiously considered working memory and intelligence, and results are inconsistent. The Brunswik symmetry principle was recently discussed as a possible explanation for the inconsistent findings because…

The task of higher education is twofold: (1) to prepare students to meet the expectations of the labor market; and (2) to create a learning environment and conditions so that as many students can meet the subject requirements as possible, the dropout rate should be the lowest possible. Input and continuous monitoring of students' transversal…

Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

This study investigates the performance of GPT-4, an advanced AI model developed by OpenAI, on the force concept inventory (FCI) to evaluate its accuracy, reasoning patterns, and the occurrence of false positives and false negatives. GPT-4 was tasked with answering the FCI questions across multiple sessions. Key findings include GPT-4's…

The kind of transactional, or tit-for-tat giftedness that so many programs identify and develop will not help to create a better world. Yet, if anyone is in a position to create a better world, it is our gifted young people. In this article, roles are presented that can be used to create change in the world. Some of these roles, when applied…

Even after many decades of productive research, problem solving instruction is still considered ineffective. In this study we address some limitations of extant problem solving models related to the phenomenon of insight during problem solving. Currently, there are two main views on the source of insight during problem solving. Proponents of the…

A Prolog program consists of a set of facts and rules rather than imperative statements, commonly used in most other programming languages. Therefore, the Prolog language is used to encode logic, from which the inference engine deduces logical conclusions. In this article, we argue that the use of the Prolog language can be useful to help students…

Mathematics is an essential subject in schools, helping develop cognitive skills such as critical analysis, logical reasoning, and problem-solving. However, academic achievement in mathematics often declines, with some students having difficulty understanding mathematical ideas. Many factors influence mathematics achievement, including students'…

To reach rational conclusions, we often draw inferences about the evidence that supports one solution over another. This evidence can be "direct" and indicate why one option is correct, or "indirect" and indicate why the alternative option is incorrect. Understanding how young children interpret and use different types of…

Think-aloud protocols are a standard method to study self-regulated learning (SRL) during learning by problem-solving. Advances in automated transcription and large language models (LLMs) have automated the transcription and labeling of SRL in these protocols, reducing manual effort. However, while effective in many emerging applications, previous…

In this paper, we present an empirical study carried out in a country where STEM education does not have a tradition, and the content and didactics of mathematics are typically studied separately from the content and didactics of biology. In that context, we focus on analogies in the conceptual structure of mathematics and biology, and study how…